Use the linear regression model yˆ=−24.8x+564.38 to predict the y-value for x=63.
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Use the linear regression model yˆ=−24.8x+564.38
to predict the y-value for x=63.
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- The equation used to predict annual cauliflower yield (in pounds per acre) is y=24,786+4.563x, -4.736x2, where x, is the number of acres planted and x₂ is the number of acres harvested. Use the multiple regression equation to predict the y-values for the values of the independent variables. (a) x, 37,000, x₂=37,400 (b)x₁=38,700, x₂ = 39,000 (c) x₁=39,700, x₂-39,900 (d) x, 43,000, x₂=43,100 (a) The predicted yield is pounds per acre. (Round to one decimal place as needed.) CITThe volume (in cubic feet) of a black cherry tree can be modeled by the equation y=−50.8+0.3x1+5.1x2, where x1 is the tree's height (in feet) and x2 is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables.The volume (in cubic feet) of a black cherry tree can be modeled by the equation y=−51.9+0.3x1+4.9x2, where x1 is the tree's height (in feet) and x2 is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables.
- An automotive blogger wants to predict the value of a certain model of sedan, y, in thousands of dollars, given the age of the car in years, x1, and the car's odometer reading, x2, in thousands of miles. She obtains the multiple regression equation yˆ=24.24−1.207x1−0.01763x2. Predict the value (in dollars) of an 8-year-old used car that has an odometer reading of 75,000 miles. Round to the nearest whole dollar.The volume (in cubic feet) of a black cherry tree can be modeled by the equation y = -51.5+0.3x, +5.3x2, where x, is the tree's height (in feet) and x, is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables. x₁ = 72. x₂ = 8.9 The predicted volume is cubic feet. (Round to one decimal place as needed.)It has been hypothesized that overall academic success for first-year college students as measured by grade point average (GPA) is a function of IQ scores = X1, and hours spent studying each week = X2. Suppose the regression equation is: Y = -5.7 + 0.02X1 +0.5X2 1) What is the predicted GPA for a student with an IQ of 100 and 40 hours spent studying per week? 2)Will the independent variables be endogenous? State what it means by endogenous, and explain why that will be the case. 3) If you have a choice to change the variables or add/drop variables, what would be your set of independent variables, and explain why you chose those variables.
- A particular article proposed a quadratic regression model to describe the relationship between x = degree of delignification during the processing of wood pulp for paper and y = total chlorine content. Suppose that the actual model is the following. y=245+ 75x-4x² + e (a) Mean chlorine content for x = 6 is ---Select--- mean chlorine content for x = 8. (b) What is the change in mean chlorine content when the degree of delignification increases from 8 to 9? What is the change in mean chlorine content when the degree of delignification increases from 12 to 13?A real estate analyst has developed a multiple regression line, y = 60 + 0.068 x1 – 2.5 x2, to predict y = the market price of a home (in $1,000s), using two independent variables, x1 = the total number of square feet of living space, and x2 = the age of the house in years. With this regression model, the predicted price of a 10-year old home with 2,500 square feet of living area is __________. $205.00 $200,000.00 $205,000.00 $255,000.00A regression analysis was performed to determine if there is a relationship between hours of TV watched per day (x) and number of sit ups a person can do (y).The results of the regression were: ˆy=-1.278 x+x+31.637r2=0.719104r2r=−0.848 Use this to predict the number of sit ups a person who watches 12 hours of TV can do, and please round your answer to a whole number.
- The volume (in cubic feet) of a black cherry tree can be modeled by the equation y = - 50.8 + 0.3x, +4.5x,, where x, is the tree's height (in feet) and x, is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables. x, = 70, x, = 8.6 The predicted volume is cubic feet. (Round to one decimal place as needed.)A particular article used a multiple regression model to relate y = yield of hops to x₁ = mean temperature (°C) between date of coming into hop and date of picking and x₂ = mean percentage of sunshine during the same period. The model equation proposed is the following. y = 415.116.6x₁4.50x2+e (a) Suppose that this equation does indeed describe the true relationship. What mean yield corresponds to a temperature of 20 and a sunshine percentage of 39? (b) What is the mean yield when the mean temperature and percentage of sunshine are 19.1 and 42, respectively? You may need to use the appropriate table in Appendix A to answer this question.Explain the Regression Functions That Are Nonlinear in the Parameters?
